Mathematics
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OpenStudy (angelax0):
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OpenStudy (angelax0):
OpenStudy (angelax0):
@jhonyy9
jhonyy9 (jhonyy9):
you need substituting the x+2 in place of x inside this function
OpenStudy (angelax0):
so 6(x+2)^2 - 7(x+2) ?
OpenStudy (angelax0):
6x^2+4 -7x+14 ?
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jhonyy9 (jhonyy9):
no
first (x+2)^2 = ?
jhonyy9 (jhonyy9):
do you know formula of (a+b)^2 = ?
OpenStudy (angelax0):
no i dont
jhonyy9 (jhonyy9):
(a+b)^2 = (a+b)(a+b) = ?
OpenStudy (angelax0):
a^2+b^2 ?
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jhonyy9 (jhonyy9):
no no
jhonyy9 (jhonyy9):
(a+b)(a+b) = a*a +a*b + b*a + b*b = ?
OpenStudy (angelax0):
a^2 + ab + ba + b^2 ?
jhonyy9 (jhonyy9):
ab = ba
yes ?
OpenStudy (angelax0):
yes
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jhonyy9 (jhonyy9):
so than these two terms what will result ?
OpenStudy (angelax0):
a^2 and b^2 ?
jhonyy9 (jhonyy9):
no
than you see that there are
a^2 +ab +ba +b^2 and you know that ab=ba
jhonyy9 (jhonyy9):
will result
a^2 +ab +ab +b^2 = ?
OpenStudy (angelax0):
im not sure
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OpenStudy (angelax0):
2a and 2b?
jhonyy9 (jhonyy9):
there are two of ab
how you can write this ?
dont separate the a from b bc. there is a multiply b
OpenStudy (angelax0):
2(ab)
jhonyy9 (jhonyy9):
yes sure 2ab without parentheses
jhonyy9 (jhonyy9):
so you know now that
(a+b)^2 = a^2 +2ab +b^2
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OpenStudy (angelax0):
yes
jhonyy9 (jhonyy9):
use this formula in this case of your exercise
OpenStudy (angelax0):
6(x+2)^2 = 6^2+2x+2+2^2 ?
jhonyy9 (jhonyy9):
without this 6 firstly
(x+2)^2 = ?
OpenStudy (angelax0):
x^2 + 2x+2 + 2^2
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jhonyy9 (jhonyy9):
the midle term not is right
there is
(a+b)^2 = a^2 +2ab +b^2
so (x+2)^2 = ?
jhonyy9 (jhonyy9):
a=x and b=2
OpenStudy (angelax0):
x^2 + 2^2
jhonyy9 (jhonyy9):
no
you forgot the 2ab
OpenStudy (angelax0):
2x+2
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OpenStudy (angelax0):
x+2^2
jhonyy9 (jhonyy9):
2 time a time b
OpenStudy (angelax0):
2(x2)
jhonyy9 (jhonyy9):
2*x*2 but you know that 2*x*2 = 2*2*x = ?
OpenStudy (angelax0):
yes
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jhonyy9 (jhonyy9):
so equal ?
OpenStudy (angelax0):
4x
jhonyy9 (jhonyy9):
and now how will be (x+2)^2 = ?
OpenStudy (angelax0):
x*2*2
OpenStudy (angelax0):
x^2 + x*2*2 + 2^2
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jhonyy9 (jhonyy9):
but the midle term you wrote it above that is equal 4x
OpenStudy (angelax0):
so would it be x^2 + 4x + 2^2
jhonyy9 (jhonyy9):
and 2^2 = ?
OpenStudy (angelax0):
4
jhonyy9 (jhonyy9):
so than how will be there 6(x+2)^2 = ?
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OpenStudy (angelax0):
6(x^2+4x+4)
jhonyy9 (jhonyy9):
perfect - very nice - but now you need distribute the parentheses
OpenStudy (angelax0):
so 36x^2+24x+24 ?
jhonyy9 (jhonyy9):
why 36 ?
you need multiply just the 6 by x^2
OpenStudy (angelax0):
6x^2
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jhonyy9 (jhonyy9):
yes
and there is again 7x where you need substituting again too the (x+2) in place of x so what will result ?
OpenStudy (angelax0):
7x+14?
jhonyy9 (jhonyy9):
yes
and now please wrote completly the denominator what you ve got
jhonyy9 (jhonyy9):
please write - sorry
OpenStudy (angelax0):
6x^2 + 24x + 24 - 7x + 14
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jhonyy9 (jhonyy9):
why plus 14 when you multiply the -7 by 2 = ?
OpenStudy (angelax0):
-14
jhonyy9 (jhonyy9):
yes please correct it
OpenStudy (angelax0):
6x^2 + 24x + 24 - 7x - 14
jhonyy9 (jhonyy9):
and now assume the same terms
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OpenStudy (angelax0):
6x^2 + 17x + 10
jhonyy9 (jhonyy9):
yes so this will be the denominator of this resulted fraction
and now how will be completly
f(x+2) = ?
OpenStudy (angelax0):
im not sure
jhonyy9 (jhonyy9):
courage please i m here to help you
OpenStudy (angelax0):
9 / 6x^2 + 17x + 10 ???
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jhonyy9 (jhonyy9):
ok but how you write it more understandably
9
f(x+2) = ---------------
?
OpenStudy (angelax0):
9 / 10 ?
jhonyy9 (jhonyy9):
why just 10 ?
jhonyy9 (jhonyy9):
i ve said you that this quadratic equation will be the denominator of this fraction
OpenStudy (angelax0):
i dont know
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jhonyy9 (jhonyy9):
9 / 6x^2 + 17x + 10 so this mean
9/(6x^2 + 17x + 10 )
please believe me
jhonyy9 (jhonyy9):
9
f(x+2) = ------------------
( 6x^2 + 17x + 10 )
ok. this is the right answer sure
OpenStudy (angelax0):
so do i need the parenthesis around it?
jhonyy9 (jhonyy9):
not are necessarly
OpenStudy (angelax0):
thank you
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jhonyy9 (jhonyy9):
np
wa my pleasure
hope you understand it - yes ?
OpenStudy (angelax0):
yes
jhonyy9 (jhonyy9):
ok
good luck
bye bye